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If x + 3 > 2x - 1, what is the value of x?

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Question: If x + 3 > 2x - 1, what is the value of x?

Options:

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Correct Answer: 1

Solution:

Rearranging gives 3 + 1 > 2x - x, thus 4 > x, so x < 4.

If x + 3 > 2x - 1, what is the value of x?

Practice Questions

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If x + 3 > 2x - 1, what is the value of x?
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Questions & Step-by-Step Solutions

If x + 3 > 2x - 1, what is the value of x?
  • Step 1: Start with the inequality x + 3 > 2x - 1.
  • Step 2: To isolate x, we want to get all the x terms on one side. First, subtract x from both sides: (x - x) + 3 > (2x - x) - 1.
  • Step 3: This simplifies to 3 > x - 1.
  • Step 4: Next, we need to get rid of the -1 on the right side. Add 1 to both sides: 3 + 1 > x.
  • Step 5: This simplifies to 4 > x.
  • Step 6: We can also write this as x < 4.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Rearrangement – Rearranging equations to isolate the variable.
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